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Empirical Likelihood Based Test for Equality of Cumulative Incidence Functions

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Abstract

An empirical likelihood based test for comparing the incidence functions for multiple competing risks is proposed, without making any assumptions on the distribution of the failure times. The performance of the proposed method is assessed based on large number of simulations and compared with existing method. Simulation studies shows that the proposed method has comparable performance when there is no censoring and has better performance where there is heavy censoring. We applied our proposed method in a well known data set.

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Acknowledgements

The authors would like to thank the editor and an anonymous referee for their valuable comments and suggestions that substantially improved the overall quality of an earlier version of this paper. Dr. Variyath’s research was supported by a grant from Natural Sciences and Engineering Research Council of Canada and Dr. Sankaran’s research was supported by a grant from Department of Science and Technology, Government of India.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Memorial University, St. John’s, NL, A1C 5S7, USA

    Asokan Mulayath Variyath

  2. Department of Statistics, Cochin University of Science and Technology, Cochin, India

    P. G. Sankaran

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  1. Asokan Mulayath Variyath
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  2. P. G. Sankaran
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Correspondence to P. G. Sankaran.

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Variyath, A.M., Sankaran, P.G. Empirical Likelihood Based Test for Equality of Cumulative Incidence Functions. J Indian Soc Probab Stat 21, 427–436 (2020). https://doi.org/10.1007/s41096-020-00089-5

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  • DOI: https://doi.org/10.1007/s41096-020-00089-5

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